TSTP Solution File: LCL025-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL025-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 00:24:26 EDT 2024

% Result   : Unsatisfiable 15.22s 2.57s
% Output   : Refutation 15.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (  15 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (   9   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f95240,plain,
    $false,
    inference(resolution,[],[f94628,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_1) ).

fof(f94628,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    inference(resolution,[],[f51687,f1849]) ).

fof(f1849,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),
    inference(resolution,[],[f149,f1161]) ).

fof(f1161,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(implies(X2,X0),X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1124,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f1124,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X0),X2)),implies(X0,X2))),
    inference(resolution,[],[f147,f7]) ).

fof(f7,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
    inference(resolution,[],[f6,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_2) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(X1)
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1,f2]) ).

fof(f147,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X1)))
      | is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X2))) ),
    inference(resolution,[],[f43,f1]) ).

fof(f43,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X0,X1)),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),
    inference(resolution,[],[f31,f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_6) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
    inference(resolution,[],[f4,f1]) ).

fof(f149,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),implies(X1,X2)),implies(implies(X1,implies(X2,X3)),implies(X1,X3))))),
    inference(resolution,[],[f43,f6]) ).

fof(f51687,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(implies(X3,X1),X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f27522,f1]) ).

fof(f27522,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X3)),implies(X0,implies(X2,X3)))),
    inference(resolution,[],[f27413,f1290]) ).

fof(f1290,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
    inference(resolution,[],[f1184,f1]) ).

fof(f1184,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(resolution,[],[f1161,f32]) ).

fof(f32,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))),
    inference(resolution,[],[f4,f6]) ).

fof(f27413,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(resolution,[],[f1164,f1161]) ).

fof(f1164,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(implies(X2,X1),X3)),implies(X1,X3)))),
    inference(resolution,[],[f1124,f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem    : LCL025-1 : TPTP v8.2.0. Released v1.0.0.
% 0.05/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon May 20 00:51:23 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.37  % (16264)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.40  % (16266)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.23/0.40  % (16265)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.23/0.40  % (16267)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.23/0.40  % (16268)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.23/0.40  % (16269)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.23/0.40  % (16270)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.23/0.40  % (16271)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.23/0.40  TRYING [1]
% 0.23/0.40  TRYING [1]
% 0.23/0.40  TRYING [1]
% 0.23/0.40  TRYING [2]
% 0.23/0.40  TRYING [1]
% 0.23/0.40  TRYING [2]
% 0.23/0.40  TRYING [2]
% 0.23/0.40  TRYING [2]
% 0.23/0.40  TRYING [3]
% 0.23/0.40  TRYING [3]
% 0.23/0.40  TRYING [3]
% 0.23/0.40  TRYING [3]
% 0.23/0.41  TRYING [4]
% 0.23/0.41  TRYING [4]
% 0.23/0.41  TRYING [4]
% 0.23/0.41  TRYING [4]
% 0.23/0.44  TRYING [5]
% 0.23/0.45  TRYING [5]
% 0.23/0.45  TRYING [5]
% 0.23/0.45  TRYING [5]
% 1.56/0.61  TRYING [6]
% 1.56/0.62  TRYING [6]
% 1.56/0.62  TRYING [6]
% 1.56/0.63  TRYING [6]
% 7.94/1.50  TRYING [7]
% 7.94/1.53  TRYING [7]
% 7.94/1.53  TRYING [7]
% 8.42/1.55  TRYING [7]
% 15.22/2.57  % (16269)First to succeed.
% 15.22/2.57  % (16269)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16264"
% 15.22/2.57  % (16269)Refutation found. Thanks to Tanya!
% 15.22/2.57  % SZS status Unsatisfiable for theBenchmark
% 15.22/2.57  % SZS output start Proof for theBenchmark
% See solution above
% 15.22/2.57  % (16269)------------------------------
% 15.22/2.57  % (16269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 15.22/2.57  % (16269)Termination reason: Refutation
% 15.22/2.57  
% 15.22/2.57  % (16269)Memory used [KB]: 20583
% 15.22/2.57  % (16269)Time elapsed: 2.172 s
% 15.22/2.57  % (16269)Instructions burned: 4319 (million)
% 15.22/2.57  % (16264)Success in time 2.19 s
%------------------------------------------------------------------------------